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PhysicsMediumMCQ2023 · 06 Apr Shift 1

Q1. Two resistance are given as 𝑅1 = ( 10 ± 0 . 5 ) Ω and 𝑅2 = ( 15 ± 0 . 5 ) Ω . The percentage error in the measurement of equivalent resistance when they are connected in parallel is (1) 6 . 33 (2) 2 . 33 (3) 5 . 33 (4) 4 . 33

What This Question Tests

This question tests the ability to calculate equivalent resistance for parallel combination and propagate errors to find the percentage error in the equivalent resistance.

Concepts Tested

Equivalent resistance in parallelError propagationPercentage error

Formulas Used

1/R_eq = 1/R1 + 1/R2

ΔR_eq/R_eq² = ΔR1/R1² + ΔR2/R2²

Percentage Error = (ΔR_eq/R_eq) * 100

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